Multiple periodic oscillations in a nonlinear suspension bridge system |
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Authors: | Zhonghai Ding |
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Affiliation: | Department of Mathematical Sciences, University of Nevada, Las Vegas, NV 89154-4020, USA |
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Abstract: | In this paper, we study periodic oscillations in a suspension bridge system governed by the coupled nonlinear wave and beam equations describing oscillations in the supporting cable and roadbed under periodic external forces. By applying a variational reduction method, it is proved that the suspension bridge system has at least three periodic oscillations. |
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Keywords: | Suspension bridge system Nonlinear oscillation Variational reduction method |
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